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Simplifying 6(5x + 5) = -39 + 7x Reorder the terms: 6(5 + 5x) = -39 + 7x (5 * 6 + 5x * 6) = -39 + 7x (30 + 30x) = -39 + 7x Solving 30 + 30x = -39 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 30 + 30x + -7x = -39 + 7x + -7x Combine like terms: 30x + -7x = 23x 30 + 23x = -39 + 7x + -7x Combine like terms: 7x + -7x = 0 30 + 23x = -39 + 0 30 + 23x = -39 Add '-30' to each side of the equation. 30 + -30 + 23x = -39 + -30 Combine like terms: 30 + -30 = 0 0 + 23x = -39 + -30 23x = -39 + -30 Combine like terms: -39 + -30 = -69 23x = -69 Divide each side by '23'. x = -3 Simplifying x = -3
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